MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Factorisation by Regrouping Terms

Factorise com...

Question

Factorise completely: $2 x^{3} + x^{2} - 2 x - 1$

Open in App

Solution

given, $2 x^{3} + x^{2} - 2 x - 1$

$= x^{2} (2 x + 1) - 1 (2 x + 1)$

$= (x^{2} - 1) (2 x + 1)$

$= (x + 1) (x - 1) (2 x + 1)$

Suggest Corrections

thumbs-up

1

Similar questions

Factorise:
$1 + 2 x + x^{2}$

Q. Factorise:

(1) x² − 2x − 99
(2) 3p² − 10p − 25
(3) 125x³ − 216y³
(4) 128 + 2x³

Q. Factorise Completely :
1) x²-y²-3x-3y
2) x²-y²-2x-2y

Q. Factorise and simplify :

\frac{2 x^{5} - 2 x}{2 x^{3} + 2 x}

(x - 2)

2 x^{3} - x^{2} - p x - 2

,
(i) find the value of

p

(ii) with the value of

p

, factorise the above expression completely.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Method of Common Factors

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Factorisation by Regrouping Terms

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon